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Mechanical Prop...

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  • Question 1
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    A 20 cm long capillary tube is dipped vertically in water and the liquid rises upto 10 cm. If the entire system is kept in a freely falling platform, the length of the water column in the tube will be

  • Question 2
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    The work done in splitting a drop of water of $$1 mm$$ radius into $$\displaystyle { 10 }^{ 6 }$$ droplets is (surface tension of water $$\displaystyle 72\times { 10 }^{ -3 }{ N }/{ M }$$ ) ;

  • Question 3
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    A spherical solid ball of volume V is made of a material of density $$\displaystyle { \rho  }_{ 1 }$$ It is falling through a liquid of density $$\displaystyle { \rho  }_{ 1 }\left( { \rho  }_{ 2 }<{ \rho  }_{ 1 } \right) $$. Assume that the liquid applies a viscous force on the ball that is Proportional to the square of its speed v, i.e., $$\displaystyle { F }_{ viscous }=-{ kv }^{ 2 }\left( k>0 \right) $$. The terminal speed of the ball is :

  • Question 4
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    A sphere of mass M and radius R is falling in a viscous fluid. The terminal velocity attained by the falling object will be proportional to :

  • Question 5
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    $$64$$ spherical rain drops of equal size are falling vertically through air with a terminal velocity $$1.5 {ms}^{-1}$$. If these drops coalesce to form a big spherical drop, then terminal velocity of big drop is:

  • Question 6
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    If the terminal speed of a sphere of gold (density =$$\displaystyle 19.5{ kg }/{ { m }^{ 3 } }$$) is $$0.2 m/s$$ in a viscous liquid(density = $$\displaystyle 1.5{ kg }/{ { m }^{ 3 } }$$), find the terminal speed of a sphere of silver (density = $$\displaystyle 10.5{ kg }/{ { m }^{ 3 } }$$) of the same size in the same liquid 

  • Question 7
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    A force of $$100N$$ is applied on an area of $$4m^2$$. the pressure being applied on the area is 

  • Question 8
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    A hole is made at the bottom of the tank filled with water (density $$\displaystyle 1000{ kg }/{ { m }^{ 3 } }$$), If the total pressure at the bottom ofthe tankis 3 atmosphere 
    ( 1 atmosphere = $$\displaystyle { 10 }^{ 5 }{ N }/{ { m }^{ 2 } }$$ ), then the velocity of efflux is :

  • Question 9
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    Water is filled in a container upto height of $$3 m$$. A small hole of area '$$\displaystyle { A }_{ 0 }$$' is punched in the wall of the container at a height $$52.5 cm$$ from the bottom. The cross sectional area of the container is A. If $$\displaystyle { { A }_{ 0 } }/{ A }=0.1$$ then $${ v }^{ 2 }$$ is (where $$v$$ is the velocity of water coming out of the hole) 

  • Question 10
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    The angle of contact in case of liquid depends upon which of the following?

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